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math.NA2016
Numerical Convergence Rate for a Diffusive Limit of Hyperbolic Systems: p-System with Damping
Christophe Berthon, Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with diffusive limit of the p-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with…
math.NA2016★ 22 cited
Exponential decay of a finite volume scheme to the thermal equilibrium for drift--diffusion systems
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet
In this paper, we study the large--time behavior of a numerical scheme discretizing drift-- diffusion systems for semiconductors. The numerical method is finite volume in space, im…